Aptitude - Calendar - Discussion

Discussion Forum : Calendar - General Questions (Q.No. 4)
4.
What will be the day of the week 15th August, 2010?
Sunday
Monday
Tuesday
Friday
Answer: Option
Explanation:

15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)

Odd days in 1600 years = 0

Odd days in 400 years = 0

9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days 4 odd days.

Jan.  Feb.   March    April    May  June  July  Aug. 
(31 +  28  +  31   +   30   +  31  + 30  + 31  + 15) = 227 days

227 days = (32 weeks + 3 days) 3 odd days.

Total number of odd days = (0 + 0 + 4 + 3) = 7 0 odd days.

Given day is Sunday.

Discussion:
95 comments Page 6 of 10.

Raunak Thakur said:   9 years ago
How 100 years has 24 leap years? Please explain.

Keisha said:   9 years ago
How do we know if we have to take for 5 years or for 10 years?

Keisha said:   9 years ago
15 th August 2010.

Jan 31 + feb 28 + Mar 31 + Apr 30 + May 31 + June 30 + July 31+ Aug 15.

31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 227.

227/7 = 3 odd days.

*************************************.

For 10 years.

2000 + 2001 + 2002 + 2003 + 2004 + 2005 + 2006 + 2007 + 2008 + 2009.

(In 400, 1600, 2000 odd days are zero. ).

0 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 (odd days).

= 11 odd days.

Total odd days = 3 + 11 = 14.

14/7= 7.

We have 2 leap year + 7 ordinary years so =2 * 2 + 7 = 4 + 7 = 11 = 4 odd days
So, 4 + 3 = 7.

7/7 = 0 = Sunday.
(1)

Bidhya chhetri said:   9 years ago
Total odd day 0 + 0 + 4 + 3 = 7 = 0 Odd day.

Bidhya said:   9 years ago
Please help me to understand. Why a total number of odd days = 0 + 0 + 4 + 3 = 7.

Salil chaudhary said:   9 years ago
@Bidhya. When 7 is divided by 7 it gives remainder as 0. So odd days = 0.

Amith said:   9 years ago
Please, can you tell me how you know the century code is 6 for august?

Murugan.s said:   9 years ago
We are getting finally 7 (the first day 0 the week is Sunday) so how could we took 7 is Sunday, could you please sort out the same?

Namzi said:   9 years ago
Why should we take 1600 and 400?

Subham said:   9 years ago
Why not 1600, 1200 = 0 odd days.


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